It calculated the rise by comparing sales data in 2013 with 2012, and claimed it now accounts for more than half the Hungarian wine sold in the UK.
Pinot Grigio is driving the trend, according to Bottle Green, with consumers choosing it as a cheaper alternative to its Italian counterpart.
Hungarian Chardonnay and Sauvignon Blanc are also said to be increasing in popularity.
Bottle Green represents the Hilltop Neszmély winery, but its own range will be available in March.
It admitted that the growth was in part due to a bountiful harvest in 2013 following two lean years, but added that the wines were gaining great traction in large retailers like Asda, Morrisons and Marks & Spencer.
Adam Marshall, commercial director at Bottle Green, said: “Consumers are continuing to recognise that Hungary represents excellent quality and value for international grape varieties as well as some delicious – if sometimes difficult to pronounce – indigenous varieties and are opting for these as reliable everyday bottles.”